SOLUTION: Find the exact value of sin(u+v) given that sin u=-12/13 and cos v=-4/5. Both u and v are in quadrant III.
Algebra.Com
Question 942326: Find the exact value of sin(u+v) given that sin u=-12/13 and cos v=-4/5. Both u and v are in quadrant III.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of sin(u+v) given that sin u=-12/13 and cos v=-4/5. Both u and v are in quadrant III.
***
sin u=-12/13
cos u=-5/13
..
cos v=-4/5
sin v=-3/5
..
sin(u+v)=sin u*cos v+cos u*sin v)
=-12/13*-4/5+-5/13*-3/5
=48/65+15/69=63/65
sin(u+v)=63/65
RELATED QUESTIONS
Find the exact value of the trigonometric function given that sin u = -12/13 and cos v =... (answered by MathLover1,MathTherapy)
Find the exact value of the trigonometric function given that
sin u = −5/13 and... (answered by solver91311)
find the exact value of cos(u-v) given that sin u = -(12/13) and cos v = -(3/5) and both... (answered by ikleyn)
Find the exact value of the trigonometric function given that sin(u) = 12/13 and cos(v) = (answered by Fombitz)
Find the exact value of the trigonometric function given that sin u = 12/13 and cos v =... (answered by sachi,lynnlo)
Find the exact value of the trigonometric function given that sin u = 5/13 and cos v =... (answered by ikleyn,MathTherapy)
Find the exact value of the trigonometric function below given that sin u = -7/25 and cos (answered by solver91311,Tatiana_Stebko,MathTherapy)
Find the exact value of the trigonometric function given that sin u =5/13 and cos v= -3/5 (answered by ikleyn)
Find the exact value of the trigonometric function given that sin u = 5/13 and cos v =... (answered by ikleyn,Edwin McCravy,MathTherapy)